Supersonic flow past an obstacle in a quasi-two-dimensional Lee-Huang-Yang quantum fluid

Physical Review A: Atomic, Molecular, and Optical physics. 2025. Vol. 112. No. 3. Article 033318.

dos Santos G., Calasans de Brito L. F., Gammal A., A.M. Kamchatnov

A supersonic flow past an obstacle can generate a rich variety of wave excitations. This paper investigates, both analytically and numerically, two types of excitations generated by the flow of a Lee-Huang-Yang quantum fluid past an obstacle: linear radiation and oblique dark solitons. We show that wave crests of linear radiation can be accurately described by the proper modification of the Kelvin original theory, while the oblique dark soliton solution is obtained  analytically by transformation of the one-dimensional soliton solution to the obstacle’s reference frame. A comparison  between analytical predictions and numerical simulations demonstrates good agreement, validating our theoretical  approach.

Keywords: солитон, нелинейные волны, soliton, nonlinear waves